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Finding the Fourth Proportional to 3,859.04, 5,781.84 and 2,399.24

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Solution

The fourth proportional to 3,859.04, 5,781.84 and 2,399.24 is: 3,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.04 : 5,781.84 = 2,399.24 : x
  2. Step 2: Convert to fraction form
    3,859.04/5,781.84 = 2,399.24/x
  3. Step 3: Cross multiply
    3,859.04x = 5,781.84 × 2,399.24
  4. Step 4: Simplify right side
    3,859.04x = 13,872,021.80
  5. Step 5: Solve for x
    x = 13,872,021.80/3,859.04
  6. Step 6: Final answer
    x = 3,594.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.